Quick guide
How to use the Binary to Decimal Converter
- Enter or choose binary value.
- Select Convert to decimal.
- Review the main result, supporting details, and calculation method.
- Copy the result or download generated files when that option is available.
What this tool does
Convert a signed binary integer to decimal and hexadecimal. Each bit is multiplied by its power-of-two place value, beginning with 2⁰ at the rightmost digit.
Calculation method
- Validate that the input contains only an optional sign and binary digits 0 or 1.
- Multiply each set bit by its power-of-two place value and add the values.
- Apply the sign and show the matching decimal and hexadecimal forms.
Example: convert binary 101010
Input: Binary value: 101010
Result: Decimal: 42; Hexadecimal: 2A
The set bits represent 32 + 8 + 2, which totals 42. Grouping as 0010 1010 produces hexadecimal 2A.
Practical uses
- Reading bit fields
- Computer science practice
- Protocol analysis
- Digital electronics
Accuracy tips and common mistakes
- Spaces and prefixes may not be accepted; enter a clean sequence of 0s and 1s.
- Leading zeros do not change the value.
- A typed minus sign is different from interpreting a fixed-width two’s-complement value.